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Finding the Fourth Proportional to 135,152, 202,531.17 and 64,949.30

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Solution

The fourth proportional to 135,152, 202,531.17 and 64,949.30 is: 97,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,152 : 202,531.17 = 64,949.30 : x
  2. Step 2: Convert to fraction form
    135,152/202,531.17 = 64,949.30/x
  3. Step 3: Cross multiply
    135,152x = 202,531.17 × 64,949.30
  4. Step 4: Simplify right side
    135,152x = 13,154,257,394.93
  5. Step 5: Solve for x
    x = 13,154,257,394.93/135,152
  6. Step 6: Final answer
    x = 97,329.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.